9514 1404 393
Answer:
4/25
Step-by-step explanation:
Put the numbers where the letters are and do the arithmetic.
![\left(2\cdot\dfrac{-1}{2}\cdot\dfrac{2}{5}\right)^2=\left(\dfrac{-2}{5}\right)^2=\dfrac{(-2)^2}{5^2}=\boxed{\dfrac{4}{25}}](https://tex.z-dn.net/?f=%5Cleft%282%5Ccdot%5Cdfrac%7B-1%7D%7B2%7D%5Ccdot%5Cdfrac%7B2%7D%7B5%7D%5Cright%29%5E2%3D%5Cleft%28%5Cdfrac%7B-2%7D%7B5%7D%5Cright%29%5E2%3D%5Cdfrac%7B%28-2%29%5E2%7D%7B5%5E2%7D%3D%5Cboxed%7B%5Cdfrac%7B4%7D%7B25%7D%7D)
Walter is right cause 30x5 equals 150
The longest line segment that can be drawn in a right rectangular prism that is 14cm long, 13cm wide and 11cm tall is 19.1cm.
<h3>What is a right rectangular prism?</h3>
A right rectangular prism is a three dimensional solid shape formed by 6 rectangles.
it is also called the cuboid.
Analysis:
The diagonal of the face of the prism with dimensions 14cm long and 13cm wide is the longest line segment that can be drawn.
Since rectangles have 90° on each vertex, we can use Pythagoras theorem to calculate for the length of the diagonal.
=
+ ![(width)^{2}](https://tex.z-dn.net/?f=%28width%29%5E%7B2%7D)
=
+ ![(13)^{2}](https://tex.z-dn.net/?f=%2813%29%5E%7B2%7D)
= 196 + 169 = 365
= 365
diagonal =
= 19.1cm
In conclusion, the length of the longest diameter is 19.1cm
Learn more about Right rectangular prism: brainly.com/question/3317747
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Answer:
h = 66
Step-by-step explanation:
We are given the equation of one variable h and we have to solve the equation for h.
The equation is given by
⇒
{Adding 17 to both sides}
⇒
⇒ h = 22 × 3 {Since we know that if
then we can write
}
⇒ h = 66 (Answer)
-6x - 10 > 14 + 2x
<u>-2x </u> <u> -2x </u>
-8x - 10 > 14 THIS IS THE MISSING STEP
<u> +10</u> <u>+10 </u>
-8x > 24
![\frac{24}{-8}](https://tex.z-dn.net/?f=%5Cfrac%7B24%7D%7B-8%7D)
x < -3
Answer: x < -3